Finding the Third Proportional to 56,416 and 123,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,416 : 123,903.50 = 123,903.50 : x
2. Step 2: Convert to fraction form
   56,416/123,903.50 = 123,903.50/x
3. Step 3: Cross multiply
   56,416x = 123,903.50 × 123,903.50
4. Step 4: Simplify right side
   56,416x = 15,352,077,312.25
5. Step 5: Solve for x
   x = 15,352,077,312.25/56,416
6. Step 6: Final answer
   x = 272,122.75