Finding the Third Proportional to 102,069 and 153,205.59

Step by Step Solution

1. Step 1: Write the proportion equation
   102,069 : 153,205.59 = 153,205.59 : x
2. Step 2: Convert to fraction form
   102,069/153,205.59 = 153,205.59/x
3. Step 3: Cross multiply
   102,069x = 153,205.59 × 153,205.59
4. Step 4: Simplify right side
   102,069x = 23,471,953,956.29
5. Step 5: Solve for x
   x = 23,471,953,956.29/102,069
6. Step 6: Final answer
   x = 229,961.63