Finding the Third Proportional to 97,564.50 and 147,116.25

Step by Step Solution

1. Step 1: Write the proportion equation
   97,564.50 : 147,116.25 = 147,116.25 : x
2. Step 2: Convert to fraction form
   97,564.50/147,116.25 = 147,116.25/x
3. Step 3: Cross multiply
   97,564.50x = 147,116.25 × 147,116.25
4. Step 4: Simplify right side
   97,564.50x = 21,643,191,014.06
5. Step 5: Solve for x
   x = 21,643,191,014.06/97,564.50
6. Step 6: Final answer
   x = 221,834.69