Finding the Third Proportional to 85,833 and 174,001.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,833 : 174,001.50 = 174,001.50 : x
2. Step 2: Convert to fraction form
   85,833/174,001.50 = 174,001.50/x
3. Step 3: Cross multiply
   85,833x = 174,001.50 × 174,001.50
4. Step 4: Simplify right side
   85,833x = 30,276,522,002.25
5. Step 5: Solve for x
   x = 30,276,522,002.25/85,833
6. Step 6: Final answer
   x = 352,737.55