Finding the Third Proportional to 184,824 and 402,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,824 : 402,817.50 = 402,817.50 : x
2. Step 2: Convert to fraction form
   184,824/402,817.50 = 402,817.50/x
3. Step 3: Cross multiply
   184,824x = 402,817.50 × 402,817.50
4. Step 4: Simplify right side
   184,824x = 162,261,938,306.25
5. Step 5: Solve for x
   x = 162,261,938,306.25/184,824
6. Step 6: Final answer
   x = 877,926.78