Finding the Third Proportional to 78,374 and 114,280

Step by Step Solution

1. Step 1: Write the proportion equation
   78,374 : 114,280 = 114,280 : x
2. Step 2: Convert to fraction form
   78,374/114,280 = 114,280/x
3. Step 3: Cross multiply
   78,374x = 114,280 × 114,280
4. Step 4: Simplify right side
   78,374x = 13,059,918,400
5. Step 5: Solve for x
   x = 13,059,918,400/78,374
6. Step 6: Final answer
   x = 166,635.85