Finding the Third Proportional to 82,156.50 and 123,822

Step by Step Solution

1. Step 1: Write the proportion equation
   82,156.50 : 123,822 = 123,822 : x
2. Step 2: Convert to fraction form
   82,156.50/123,822 = 123,822/x
3. Step 3: Cross multiply
   82,156.50x = 123,822 × 123,822
4. Step 4: Simplify right side
   82,156.50x = 15,331,887,684
5. Step 5: Solve for x
   x = 15,331,887,684/82,156.50
6. Step 6: Final answer
   x = 186,618.07