Finding the Third Proportional to 77,578.50 and 118,624

Step by Step Solution

1. Step 1: Write the proportion equation
   77,578.50 : 118,624 = 118,624 : x
2. Step 2: Convert to fraction form
   77,578.50/118,624 = 118,624/x
3. Step 3: Cross multiply
   77,578.50x = 118,624 × 118,624
4. Step 4: Simplify right side
   77,578.50x = 14,071,653,376
5. Step 5: Solve for x
   x = 14,071,653,376/77,578.50
6. Step 6: Final answer
   x = 181,385.99