Finding the Third Proportional to 85,746 and 185,748

Step by Step Solution

1. Step 1: Write the proportion equation
   85,746 : 185,748 = 185,748 : x
2. Step 2: Convert to fraction form
   85,746/185,748 = 185,748/x
3. Step 3: Cross multiply
   85,746x = 185,748 × 185,748
4. Step 4: Simplify right side
   85,746x = 34,502,319,504
5. Step 5: Solve for x
   x = 34,502,319,504/85,746
6. Step 6: Final answer
   x = 402,378.18