Finding the Third Proportional to 109,377 and 156,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,377 : 156,406.50 = 156,406.50 : x
2. Step 2: Convert to fraction form
   109,377/156,406.50 = 156,406.50/x
3. Step 3: Cross multiply
   109,377x = 156,406.50 × 156,406.50
4. Step 4: Simplify right side
   109,377x = 24,462,993,242.25
5. Step 5: Solve for x
   x = 24,462,993,242.25/109,377
6. Step 6: Final answer
   x = 223,657.56