Finding the Third Proportional to 76,355 and 116,507

Step by Step Solution

1. Step 1: Write the proportion equation
   76,355 : 116,507 = 116,507 : x
2. Step 2: Convert to fraction form
   76,355/116,507 = 116,507/x
3. Step 3: Cross multiply
   76,355x = 116,507 × 116,507
4. Step 4: Simplify right side
   76,355x = 13,573,881,049
5. Step 5: Solve for x
   x = 13,573,881,049/76,355
6. Step 6: Final answer
   x = 177,773.31