Finding the Third Proportional to 72,374 and 114,876

Step by Step Solution

1. Step 1: Write the proportion equation
   72,374 : 114,876 = 114,876 : x
2. Step 2: Convert to fraction form
   72,374/114,876 = 114,876/x
3. Step 3: Cross multiply
   72,374x = 114,876 × 114,876
4. Step 4: Simplify right side
   72,374x = 13,196,495,376
5. Step 5: Solve for x
   x = 13,196,495,376/72,374
6. Step 6: Final answer
   x = 182,337.52