Finding the Third Proportional to 194,535 and 291,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,535 : 291,802.50 = 291,802.50 : x
2. Step 2: Convert to fraction form
   194,535/291,802.50 = 291,802.50/x
3. Step 3: Cross multiply
   194,535x = 291,802.50 × 291,802.50
4. Step 4: Simplify right side
   194,535x = 85,148,699,006.25
5. Step 5: Solve for x
   x = 85,148,699,006.25/194,535
6. Step 6: Final answer
   x = 437,703.75