Finding the Third Proportional to 207,546 and 432,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   207,546 : 432,792.50 = 432,792.50 : x
2. Step 2: Convert to fraction form
   207,546/432,792.50 = 432,792.50/x
3. Step 3: Cross multiply
   207,546x = 432,792.50 × 432,792.50
4. Step 4: Simplify right side
   207,546x = 187,309,348,056.25
5. Step 5: Solve for x
   x = 187,309,348,056.25/207,546
6. Step 6: Final answer
   x = 902,495.58