Finding the Third Proportional to 78,076 and 124,140

Step by Step Solution

1. Step 1: Write the proportion equation
   78,076 : 124,140 = 124,140 : x
2. Step 2: Convert to fraction form
   78,076/124,140 = 124,140/x
3. Step 3: Cross multiply
   78,076x = 124,140 × 124,140
4. Step 4: Simplify right side
   78,076x = 15,410,739,600
5. Step 5: Solve for x
   x = 15,410,739,600/78,076
6. Step 6: Final answer
   x = 197,381.26