Finding the Third Proportional to 77,666 and 116,379

Step by Step Solution

1. Step 1: Write the proportion equation
   77,666 : 116,379 = 116,379 : x
2. Step 2: Convert to fraction form
   77,666/116,379 = 116,379/x
3. Step 3: Cross multiply
   77,666x = 116,379 × 116,379
4. Step 4: Simplify right side
   77,666x = 13,544,071,641
5. Step 5: Solve for x
   x = 13,544,071,641/77,666
6. Step 6: Final answer
   x = 174,388.69