Finding the Third Proportional to 37,280 and 78,448

Step by Step Solution

1. Step 1: Write the proportion equation
   37,280 : 78,448 = 78,448 : x
2. Step 2: Convert to fraction form
   37,280/78,448 = 78,448/x
3. Step 3: Cross multiply
   37,280x = 78,448 × 78,448
4. Step 4: Simplify right side
   37,280x = 6,154,088,704
5. Step 5: Solve for x
   x = 6,154,088,704/37,280
6. Step 6: Final answer
   x = 165,077.49