Finding the Third Proportional to 46,434 and 101,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,434 : 101,770.50 = 101,770.50 : x
2. Step 2: Convert to fraction form
   46,434/101,770.50 = 101,770.50/x
3. Step 3: Cross multiply
   46,434x = 101,770.50 × 101,770.50
4. Step 4: Simplify right side
   46,434x = 10,357,234,670.25
5. Step 5: Solve for x
   x = 10,357,234,670.25/46,434
6. Step 6: Final answer
   x = 223,052.82