Finding the Third Proportional to 46,314 and 101,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,314 : 101,102.50 = 101,102.50 : x
2. Step 2: Convert to fraction form
   46,314/101,102.50 = 101,102.50/x
3. Step 3: Cross multiply
   46,314x = 101,102.50 × 101,102.50
4. Step 4: Simplify right side
   46,314x = 10,221,715,506.25
5. Step 5: Solve for x
   x = 10,221,715,506.25/46,314
6. Step 6: Final answer
   x = 220,704.66