Finding the Third Proportional to 78,127 and 108,502

Step by Step Solution

1. Step 1: Write the proportion equation
   78,127 : 108,502 = 108,502 : x
2. Step 2: Convert to fraction form
   78,127/108,502 = 108,502/x
3. Step 3: Cross multiply
   78,127x = 108,502 × 108,502
4. Step 4: Simplify right side
   78,127x = 11,772,684,004
5. Step 5: Solve for x
   x = 11,772,684,004/78,127
6. Step 6: Final answer
   x = 150,686.50