Finding the Third Proportional to 85,837.50 and 185,967

Step by Step Solution

1. Step 1: Write the proportion equation
   85,837.50 : 185,967 = 185,967 : x
2. Step 2: Convert to fraction form
   85,837.50/185,967 = 185,967/x
3. Step 3: Cross multiply
   85,837.50x = 185,967 × 185,967
4. Step 4: Simplify right side
   85,837.50x = 34,583,725,089
5. Step 5: Solve for x
   x = 34,583,725,089/85,837.50
6. Step 6: Final answer
   x = 402,897.63