Finding the Third Proportional to 194,824 and 292,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,824 : 292,807.50 = 292,807.50 : x
2. Step 2: Convert to fraction form
   194,824/292,807.50 = 292,807.50/x
3. Step 3: Cross multiply
   194,824x = 292,807.50 × 292,807.50
4. Step 4: Simplify right side
   194,824x = 85,736,232,056.25
5. Step 5: Solve for x
   x = 85,736,232,056.25/194,824
6. Step 6: Final answer
   x = 440,070.18