Finding the Third Proportional to 65,929 and 102,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,929 : 102,055.50 = 102,055.50 : x
2. Step 2: Convert to fraction form
   65,929/102,055.50 = 102,055.50/x
3. Step 3: Cross multiply
   65,929x = 102,055.50 × 102,055.50
4. Step 4: Simplify right side
   65,929x = 10,415,325,080.25
5. Step 5: Solve for x
   x = 10,415,325,080.25/65,929
6. Step 6: Final answer
   x = 157,977.90