Finding the Third Proportional to 85,572 and 185,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,572 : 185,899.50 = 185,899.50 : x
2. Step 2: Convert to fraction form
   85,572/185,899.50 = 185,899.50/x
3. Step 3: Cross multiply
   85,572x = 185,899.50 × 185,899.50
4. Step 4: Simplify right side
   85,572x = 34,558,624,100.25
5. Step 5: Solve for x
   x = 34,558,624,100.25/85,572
6. Step 6: Final answer
   x = 403,854.35