Finding the Third Proportional to 77,156 and 116,562

Step by Step Solution

1. Step 1: Write the proportion equation
   77,156 : 116,562 = 116,562 : x
2. Step 2: Convert to fraction form
   77,156/116,562 = 116,562/x
3. Step 3: Cross multiply
   77,156x = 116,562 × 116,562
4. Step 4: Simplify right side
   77,156x = 13,586,699,844
5. Step 5: Solve for x
   x = 13,586,699,844/77,156
6. Step 6: Final answer
   x = 176,093.89