Finding the Third Proportional to 84,480 and 185,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,480 : 185,224.50 = 185,224.50 : x
2. Step 2: Convert to fraction form
   84,480/185,224.50 = 185,224.50/x
3. Step 3: Cross multiply
   84,480x = 185,224.50 × 185,224.50
4. Step 4: Simplify right side
   84,480x = 34,308,115,400.25
5. Step 5: Solve for x
   x = 34,308,115,400.25/84,480
6. Step 6: Final answer
   x = 406,109.32