Finding the Third Proportional to 80,358 and 190,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,358 : 190,377.50 = 190,377.50 : x
2. Step 2: Convert to fraction form
   80,358/190,377.50 = 190,377.50/x
3. Step 3: Cross multiply
   80,358x = 190,377.50 × 190,377.50
4. Step 4: Simplify right side
   80,358x = 36,243,592,506.25
5. Step 5: Solve for x
   x = 36,243,592,506.25/80,358
6. Step 6: Final answer
   x = 451,026.56