Finding the Third Proportional to 66,142 and 156,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,142 : 156,105.50 = 156,105.50 : x
2. Step 2: Convert to fraction form
   66,142/156,105.50 = 156,105.50/x
3. Step 3: Cross multiply
   66,142x = 156,105.50 × 156,105.50
4. Step 4: Simplify right side
   66,142x = 24,368,927,130.25
5. Step 5: Solve for x
   x = 24,368,927,130.25/66,142
6. Step 6: Final answer
   x = 368,433.48