Finding the Third Proportional to 193,464 and 421,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,464 : 421,465.50 = 421,465.50 : x
2. Step 2: Convert to fraction form
   193,464/421,465.50 = 421,465.50/x
3. Step 3: Cross multiply
   193,464x = 421,465.50 × 421,465.50
4. Step 4: Simplify right side
   193,464x = 177,633,167,690.25
5. Step 5: Solve for x
   x = 177,633,167,690.25/193,464
6. Step 6: Final answer
   x = 918,171.69