Finding the Third Proportional to 74,776 and 111,516

Step by Step Solution

1. Step 1: Write the proportion equation
   74,776 : 111,516 = 111,516 : x
2. Step 2: Convert to fraction form
   74,776/111,516 = 111,516/x
3. Step 3: Cross multiply
   74,776x = 111,516 × 111,516
4. Step 4: Simplify right side
   74,776x = 12,435,818,256
5. Step 5: Solve for x
   x = 12,435,818,256/74,776
6. Step 6: Final answer
   x = 166,307.62