Finding the Third Proportional to 37,466 and 78,374

Step by Step Solution

1. Step 1: Write the proportion equation
   37,466 : 78,374 = 78,374 : x
2. Step 2: Convert to fraction form
   37,466/78,374 = 78,374/x
3. Step 3: Cross multiply
   37,466x = 78,374 × 78,374
4. Step 4: Simplify right side
   37,466x = 6,142,483,876
5. Step 5: Solve for x
   x = 6,142,483,876/37,466
6. Step 6: Final answer
   x = 163,948.22