Finding the Third Proportional to 116,840 and 175,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,840 : 175,066.50 = 175,066.50 : x
2. Step 2: Convert to fraction form
   116,840/175,066.50 = 175,066.50/x
3. Step 3: Cross multiply
   116,840x = 175,066.50 × 175,066.50
4. Step 4: Simplify right side
   116,840x = 30,648,279,422.25
5. Step 5: Solve for x
   x = 30,648,279,422.25/116,840
6. Step 6: Final answer
   x = 262,309.82