Finding the Third Proportional to 106,143 and 156,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,143 : 156,784.50 = 156,784.50 : x
2. Step 2: Convert to fraction form
   106,143/156,784.50 = 156,784.50/x
3. Step 3: Cross multiply
   106,143x = 156,784.50 × 156,784.50
4. Step 4: Simplify right side
   106,143x = 24,581,379,440.25
5. Step 5: Solve for x
   x = 24,581,379,440.25/106,143
6. Step 6: Final answer
   x = 231,587.38