Finding the Third Proportional to 100,578.50 and 151,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,578.50 : 151,892.50 = 151,892.50 : x
2. Step 2: Convert to fraction form
   100,578.50/151,892.50 = 151,892.50/x
3. Step 3: Cross multiply
   100,578.50x = 151,892.50 × 151,892.50
4. Step 4: Simplify right side
   100,578.50x = 23,071,331,556.25
5. Step 5: Solve for x
   x = 23,071,331,556.25/100,578.50
6. Step 6: Final answer
   x = 229,386.32