Finding the Third Proportional to 101,084.63 and 149,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,084.63 : 149,656.50 = 149,656.50 : x
2. Step 2: Convert to fraction form
   101,084.63/149,656.50 = 149,656.50/x
3. Step 3: Cross multiply
   101,084.63x = 149,656.50 × 149,656.50
4. Step 4: Simplify right side
   101,084.63x = 22,397,067,992.25
5. Step 5: Solve for x
   x = 22,397,067,992.25/101,084.63
6. Step 6: Final answer
   x = 221,567.50