Finding the Third Proportional to 194,199 and 301,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,199 : 301,378.50 = 301,378.50 : x
2. Step 2: Convert to fraction form
   194,199/301,378.50 = 301,378.50/x
3. Step 3: Cross multiply
   194,199x = 301,378.50 × 301,378.50
4. Step 4: Simplify right side
   194,199x = 90,829,000,262.25
5. Step 5: Solve for x
   x = 90,829,000,262.25/194,199
6. Step 6: Final answer
   x = 467,710.96