Finding the Third Proportional to 105,663 and 156,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,663 : 156,748.50 = 156,748.50 : x
2. Step 2: Convert to fraction form
   105,663/156,748.50 = 156,748.50/x
3. Step 3: Cross multiply
   105,663x = 156,748.50 × 156,748.50
4. Step 4: Simplify right side
   105,663x = 24,570,092,252.25
5. Step 5: Solve for x
   x = 24,570,092,252.25/105,663
6. Step 6: Final answer
   x = 232,532.60