Finding the Third Proportional to 83,594 and 183,820

Step by Step Solution

1. Step 1: Write the proportion equation
   83,594 : 183,820 = 183,820 : x
2. Step 2: Convert to fraction form
   83,594/183,820 = 183,820/x
3. Step 3: Cross multiply
   83,594x = 183,820 × 183,820
4. Step 4: Simplify right side
   83,594x = 33,789,792,400
5. Step 5: Solve for x
   x = 33,789,792,400/83,594
6. Step 6: Final answer
   x = 404,213.13