Finding the Third Proportional to 191,586 and 290,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,586 : 290,032.50 = 290,032.50 : x
2. Step 2: Convert to fraction form
   191,586/290,032.50 = 290,032.50/x
3. Step 3: Cross multiply
   191,586x = 290,032.50 × 290,032.50
4. Step 4: Simplify right side
   191,586x = 84,118,851,056.25
5. Step 5: Solve for x
   x = 84,118,851,056.25/191,586
6. Step 6: Final answer
   x = 439,065.75