Finding the Third Proportional to 372,564 and 590,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   372,564 : 590,197.50 = 590,197.50 : x
2. Step 2: Convert to fraction form
   372,564/590,197.50 = 590,197.50/x
3. Step 3: Cross multiply
   372,564x = 590,197.50 × 590,197.50
4. Step 4: Simplify right side
   372,564x = 348,333,089,006.25
5. Step 5: Solve for x
   x = 348,333,089,006.25/372,564
6. Step 6: Final answer
   x = 934,961.75