Finding the Third Proportional to 116,598 and 251,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,598 : 251,032.50 = 251,032.50 : x
2. Step 2: Convert to fraction form
   116,598/251,032.50 = 251,032.50/x
3. Step 3: Cross multiply
   116,598x = 251,032.50 × 251,032.50
4. Step 4: Simplify right side
   116,598x = 63,017,316,056.25
5. Step 5: Solve for x
   x = 63,017,316,056.25/116,598
6. Step 6: Final answer
   x = 540,466.53