Finding the Third Proportional to 84,577.50 and 185,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,577.50 : 185,899.50 = 185,899.50 : x
2. Step 2: Convert to fraction form
   84,577.50/185,899.50 = 185,899.50/x
3. Step 3: Cross multiply
   84,577.50x = 185,899.50 × 185,899.50
4. Step 4: Simplify right side
   84,577.50x = 34,558,624,100.25
5. Step 5: Solve for x
   x = 34,558,624,100.25/84,577.50
6. Step 6: Final answer
   x = 408,603.05