Finding the Third Proportional to 59,272 and 83,364

Step by Step Solution

1. Step 1: Write the proportion equation
   59,272 : 83,364 = 83,364 : x
2. Step 2: Convert to fraction form
   59,272/83,364 = 83,364/x
3. Step 3: Cross multiply
   59,272x = 83,364 × 83,364
4. Step 4: Simplify right side
   59,272x = 6,949,556,496
5. Step 5: Solve for x
   x = 6,949,556,496/59,272
6. Step 6: Final answer
   x = 117,248.56