Finding the Third Proportional to 101,861 and 152,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,861 : 152,983.50 = 152,983.50 : x
2. Step 2: Convert to fraction form
   101,861/152,983.50 = 152,983.50/x
3. Step 3: Cross multiply
   101,861x = 152,983.50 × 152,983.50
4. Step 4: Simplify right side
   101,861x = 23,403,951,272.25
5. Step 5: Solve for x
   x = 23,403,951,272.25/101,861
6. Step 6: Final answer
   x = 229,763.61