Finding the Third Proportional to 84,097 and 140,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,097 : 140,155.50 = 140,155.50 : x
2. Step 2: Convert to fraction form
   84,097/140,155.50 = 140,155.50/x
3. Step 3: Cross multiply
   84,097x = 140,155.50 × 140,155.50
4. Step 4: Simplify right side
   84,097x = 19,643,564,180.25
5. Step 5: Solve for x
   x = 19,643,564,180.25/84,097
6. Step 6: Final answer
   x = 233,582.22