Finding the Third Proportional to 101,205 and 148,526.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,205 : 148,526.50 = 148,526.50 : x
2. Step 2: Convert to fraction form
   101,205/148,526.50 = 148,526.50/x
3. Step 3: Cross multiply
   101,205x = 148,526.50 × 148,526.50
4. Step 4: Simplify right side
   101,205x = 22,060,121,202.25
5. Step 5: Solve for x
   x = 22,060,121,202.25/101,205
6. Step 6: Final answer
   x = 217,974.62