Finding the Third Proportional to 194,809.50 and 291,430

Step by Step Solution

1. Step 1: Write the proportion equation
   194,809.50 : 291,430 = 291,430 : x
2. Step 2: Convert to fraction form
   194,809.50/291,430 = 291,430/x
3. Step 3: Cross multiply
   194,809.50x = 291,430 × 291,430
4. Step 4: Simplify right side
   194,809.50x = 84,931,444,900
5. Step 5: Solve for x
   x = 84,931,444,900/194,809.50
6. Step 6: Final answer
   x = 435,971.78