Finding the Third Proportional to 193,191 and 420,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,191 : 420,706.50 = 420,706.50 : x
2. Step 2: Convert to fraction form
   193,191/420,706.50 = 420,706.50/x
3. Step 3: Cross multiply
   193,191x = 420,706.50 × 420,706.50
4. Step 4: Simplify right side
   193,191x = 176,993,959,142.25
5. Step 5: Solve for x
   x = 176,993,959,142.25/193,191
6. Step 6: Final answer
   x = 916,160.48