Finding the Third Proportional to 77,772.50 and 117,372

Step by Step Solution

1. Step 1: Write the proportion equation
   77,772.50 : 117,372 = 117,372 : x
2. Step 2: Convert to fraction form
   77,772.50/117,372 = 117,372/x
3. Step 3: Cross multiply
   77,772.50x = 117,372 × 117,372
4. Step 4: Simplify right side
   77,772.50x = 13,776,186,384
5. Step 5: Solve for x
   x = 13,776,186,384/77,772.50
6. Step 6: Final answer
   x = 177,134.42