Finding the Third Proportional to 150,264 and 234,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,264 : 234,012.50 = 234,012.50 : x
2. Step 2: Convert to fraction form
   150,264/234,012.50 = 234,012.50/x
3. Step 3: Cross multiply
   150,264x = 234,012.50 × 234,012.50
4. Step 4: Simplify right side
   150,264x = 54,761,850,156.25
5. Step 5: Solve for x
   x = 54,761,850,156.25/150,264
6. Step 6: Final answer
   x = 364,437.59