Finding the Third Proportional to 97,980.50 and 146,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,980.50 : 146,589.50 = 146,589.50 : x
2. Step 2: Convert to fraction form
   97,980.50/146,589.50 = 146,589.50/x
3. Step 3: Cross multiply
   97,980.50x = 146,589.50 × 146,589.50
4. Step 4: Simplify right side
   97,980.50x = 21,488,481,510.25
5. Step 5: Solve for x
   x = 21,488,481,510.25/97,980.50
6. Step 6: Final answer
   x = 219,313.86