Finding the Third Proportional to 52,229 and 78,460

Step by Step Solution

1. Step 1: Write the proportion equation
   52,229 : 78,460 = 78,460 : x
2. Step 2: Convert to fraction form
   52,229/78,460 = 78,460/x
3. Step 3: Cross multiply
   52,229x = 78,460 × 78,460
4. Step 4: Simplify right side
   52,229x = 6,155,971,600
5. Step 5: Solve for x
   x = 6,155,971,600/52,229
6. Step 6: Final answer
   x = 117,865.01