Finding the Third Proportional to 102,412.50 and 208,892.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,412.50 : 208,892.25 = 208,892.25 : x
2. Step 2: Convert to fraction form
   102,412.50/208,892.25 = 208,892.25/x
3. Step 3: Cross multiply
   102,412.50x = 208,892.25 × 208,892.25
4. Step 4: Simplify right side
   102,412.50x = 43,635,972,110.06
5. Step 5: Solve for x
   x = 43,635,972,110.06/102,412.50
6. Step 6: Final answer
   x = 426,080.53