Finding the Third Proportional to 128,307 and 172,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,307 : 172,777.50 = 172,777.50 : x
2. Step 2: Convert to fraction form
   128,307/172,777.50 = 172,777.50/x
3. Step 3: Cross multiply
   128,307x = 172,777.50 × 172,777.50
4. Step 4: Simplify right side
   128,307x = 29,852,064,506.25
5. Step 5: Solve for x
   x = 29,852,064,506.25/128,307
6. Step 6: Final answer
   x = 232,661.23