Finding the Third Proportional to 178,982 and 385,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,982 : 385,987.50 = 385,987.50 : x
2. Step 2: Convert to fraction form
   178,982/385,987.50 = 385,987.50/x
3. Step 3: Cross multiply
   178,982x = 385,987.50 × 385,987.50
4. Step 4: Simplify right side
   178,982x = 148,986,350,156.25
5. Step 5: Solve for x
   x = 148,986,350,156.25/178,982
6. Step 6: Final answer
   x = 832,409.68