Finding the Third Proportional to 83,464 and 185,594

Step by Step Solution

1. Step 1: Write the proportion equation
   83,464 : 185,594 = 185,594 : x
2. Step 2: Convert to fraction form
   83,464/185,594 = 185,594/x
3. Step 3: Cross multiply
   83,464x = 185,594 × 185,594
4. Step 4: Simplify right side
   83,464x = 34,445,132,836
5. Step 5: Solve for x
   x = 34,445,132,836/83,464
6. Step 6: Final answer
   x = 412,694.49