Finding the Third Proportional to 150,930,624,276 and 323,063,414,567

Step by Step Solution

1. Step 1: Write the proportion equation
   150,930,624,276 : 323,063,414,567 = 323,063,414,567 : x
2. Step 2: Convert to fraction form
   150,930,624,276/323,063,414,567 = 323,063,414,567/x
3. Step 3: Cross multiply
   150,930,624,276x = 323,063,414,567 × 323,063,414,567
4. Step 4: Simplify right side
   150,930,624,276x = 104,369,969,831,689,303,621,632
5. Step 5: Solve for x
   x = 104,369,969,831,689,303,621,632/150,930,624,276
6. Step 6: Final answer
   x = 691,509,561,643.59