Finding the Third Proportional to 194,808 and 291,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,808 : 291,427.50 = 291,427.50 : x
2. Step 2: Convert to fraction form
   194,808/291,427.50 = 291,427.50/x
3. Step 3: Cross multiply
   194,808x = 291,427.50 × 291,427.50
4. Step 4: Simplify right side
   194,808x = 84,929,987,756.25
5. Step 5: Solve for x
   x = 84,929,987,756.25/194,808
6. Step 6: Final answer
   x = 435,967.66