Finding the Third Proportional to 101,313 and 152,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,313 : 152,023.50 = 152,023.50 : x
2. Step 2: Convert to fraction form
   101,313/152,023.50 = 152,023.50/x
3. Step 3: Cross multiply
   101,313x = 152,023.50 × 152,023.50
4. Step 4: Simplify right side
   101,313x = 23,111,144,552.25
5. Step 5: Solve for x
   x = 23,111,144,552.25/101,313
6. Step 6: Final answer
   x = 228,116.28