Finding the Third Proportional to 194,352 and 299,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,352 : 299,830.50 = 299,830.50 : x
2. Step 2: Convert to fraction form
   194,352/299,830.50 = 299,830.50/x
3. Step 3: Cross multiply
   194,352x = 299,830.50 × 299,830.50
4. Step 4: Simplify right side
   194,352x = 89,898,328,730.25
5. Step 5: Solve for x
   x = 89,898,328,730.25/194,352
6. Step 6: Final answer
   x = 462,554.17