Finding the Third Proportional to 82,111,243.50 and 114,796,350

Step by Step Solution

1. Step 1: Write the proportion equation
   82,111,243.50 : 114,796,350 = 114,796,350 : x
2. Step 2: Convert to fraction form
   82,111,243.50/114,796,350 = 114,796,350/x
3. Step 3: Cross multiply
   82,111,243.50x = 114,796,350 × 114,796,350
4. Step 4: Simplify right side
   82,111,243.50x = 13,178,201,973,322,500
5. Step 5: Solve for x
   x = 13,178,201,973,322,500/82,111,243.50
6. Step 6: Final answer
   x = 160,492,052.14