Finding the Third Proportional to 101,697 and 153,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,697 : 153,859.50 = 153,859.50 : x
2. Step 2: Convert to fraction form
   101,697/153,859.50 = 153,859.50/x
3. Step 3: Cross multiply
   101,697x = 153,859.50 × 153,859.50
4. Step 4: Simplify right side
   101,697x = 23,672,745,740.25
5. Step 5: Solve for x
   x = 23,672,745,740.25/101,697
6. Step 6: Final answer
   x = 232,777.23