Finding the Third Proportional to 87,829.31 and 188,978.06

Step by Step Solution

1. Step 1: Write the proportion equation
   87,829.31 : 188,978.06 = 188,978.06 : x
2. Step 2: Convert to fraction form
   87,829.31/188,978.06 = 188,978.06/x
3. Step 3: Cross multiply
   87,829.31x = 188,978.06 × 188,978.06
4. Step 4: Simplify right side
   87,829.31x = 35,712,708,106.25
5. Step 5: Solve for x
   x = 35,712,708,106.25/87,829.31
6. Step 6: Final answer
   x = 406,614.91