Finding the Third Proportional to 77,516 and 116,274

Step by Step Solution

1. Step 1: Write the proportion equation
   77,516 : 116,274 = 116,274 : x
2. Step 2: Convert to fraction form
   77,516/116,274 = 116,274/x
3. Step 3: Cross multiply
   77,516x = 116,274 × 116,274
4. Step 4: Simplify right side
   77,516x = 13,519,643,076
5. Step 5: Solve for x
   x = 13,519,643,076/77,516
6. Step 6: Final answer
   x = 174,411