Finding the Third Proportional to 85,878 and 183,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,878 : 183,549.50 = 183,549.50 : x
2. Step 2: Convert to fraction form
   85,878/183,549.50 = 183,549.50/x
3. Step 3: Cross multiply
   85,878x = 183,549.50 × 183,549.50
4. Step 4: Simplify right side
   85,878x = 33,690,418,950.25
5. Step 5: Solve for x
   x = 33,690,418,950.25/85,878
6. Step 6: Final answer
   x = 392,305.58