Finding the Third Proportional to 101,970 and 149,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,970 : 149,953.50 = 149,953.50 : x
2. Step 2: Convert to fraction form
   101,970/149,953.50 = 149,953.50/x
3. Step 3: Cross multiply
   101,970x = 149,953.50 × 149,953.50
4. Step 4: Simplify right side
   101,970x = 22,486,052,162.25
5. Step 5: Solve for x
   x = 22,486,052,162.25/101,970
6. Step 6: Final answer
   x = 220,516.35