Finding the Third Proportional to 101,013 and 149,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,013 : 149,566.50 = 149,566.50 : x
2. Step 2: Convert to fraction form
   101,013/149,566.50 = 149,566.50/x
3. Step 3: Cross multiply
   101,013x = 149,566.50 × 149,566.50
4. Step 4: Simplify right side
   101,013x = 22,370,137,922.25
5. Step 5: Solve for x
   x = 22,370,137,922.25/101,013
6. Step 6: Final answer
   x = 221,458.01