Finding the Third Proportional to 89,764.50 and 139,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,764.50 : 139,387.50 = 139,387.50 : x
2. Step 2: Convert to fraction form
   89,764.50/139,387.50 = 139,387.50/x
3. Step 3: Cross multiply
   89,764.50x = 139,387.50 × 139,387.50
4. Step 4: Simplify right side
   89,764.50x = 19,428,875,156.25
5. Step 5: Solve for x
   x = 19,428,875,156.25/89,764.50
6. Step 6: Final answer
   x = 216,442.75