Finding the Third Proportional to 65,784 and 102,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,784 : 102,046.50 = 102,046.50 : x
2. Step 2: Convert to fraction form
   65,784/102,046.50 = 102,046.50/x
3. Step 3: Cross multiply
   65,784x = 102,046.50 × 102,046.50
4. Step 4: Simplify right side
   65,784x = 10,413,488,162.25
5. Step 5: Solve for x
   x = 10,413,488,162.25/65,784
6. Step 6: Final answer
   x = 158,298.19