Finding the Third Proportional to 83,748 and 182,532

Step by Step Solution

1. Step 1: Write the proportion equation
   83,748 : 182,532 = 182,532 : x
2. Step 2: Convert to fraction form
   83,748/182,532 = 182,532/x
3. Step 3: Cross multiply
   83,748x = 182,532 × 182,532
4. Step 4: Simplify right side
   83,748x = 33,317,931,024
5. Step 5: Solve for x
   x = 33,317,931,024/83,748
6. Step 6: Final answer
   x = 397,835.54