Finding the Third Proportional to 101,797 and 153,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,797 : 153,811.50 = 153,811.50 : x
2. Step 2: Convert to fraction form
   101,797/153,811.50 = 153,811.50/x
3. Step 3: Cross multiply
   101,797x = 153,811.50 × 153,811.50
4. Step 4: Simplify right side
   101,797x = 23,657,977,532.25
5. Step 5: Solve for x
   x = 23,657,977,532.25/101,797
6. Step 6: Final answer
   x = 232,403.48