Finding the Third Proportional to 64,498.50 and 136,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   64,498.50 : 136,802.25 = 136,802.25 : x
2. Step 2: Convert to fraction form
   64,498.50/136,802.25 = 136,802.25/x
3. Step 3: Cross multiply
   64,498.50x = 136,802.25 × 136,802.25
4. Step 4: Simplify right side
   64,498.50x = 18,714,855,605.06
5. Step 5: Solve for x
   x = 18,714,855,605.06/64,498.50
6. Step 6: Final answer
   x = 290,159.55