Finding the Third Proportional to 108,216 and 233,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,216 : 233,077.50 = 233,077.50 : x
2. Step 2: Convert to fraction form
   108,216/233,077.50 = 233,077.50/x
3. Step 3: Cross multiply
   108,216x = 233,077.50 × 233,077.50
4. Step 4: Simplify right side
   108,216x = 54,325,121,006.25
5. Step 5: Solve for x
   x = 54,325,121,006.25/108,216
6. Step 6: Final answer
   x = 502,006.37