Finding the Third Proportional to 85,698 and 134,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,698 : 134,014.50 = 134,014.50 : x
2. Step 2: Convert to fraction form
   85,698/134,014.50 = 134,014.50/x
3. Step 3: Cross multiply
   85,698x = 134,014.50 × 134,014.50
4. Step 4: Simplify right side
   85,698x = 17,959,886,210.25
5. Step 5: Solve for x
   x = 17,959,886,210.25/85,698
6. Step 6: Final answer
   x = 209,571.82