Finding the Third Proportional to 84,746 and 114,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,746 : 114,965.50 = 114,965.50 : x
2. Step 2: Convert to fraction form
   84,746/114,965.50 = 114,965.50/x
3. Step 3: Cross multiply
   84,746x = 114,965.50 × 114,965.50
4. Step 4: Simplify right side
   84,746x = 13,217,066,190.25
5. Step 5: Solve for x
   x = 13,217,066,190.25/84,746
6. Step 6: Final answer
   x = 155,960.94