Finding the Third Proportional to 178,428 and 260,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,428 : 260,941.50 = 260,941.50 : x
2. Step 2: Convert to fraction form
   178,428/260,941.50 = 260,941.50/x
3. Step 3: Cross multiply
   178,428x = 260,941.50 × 260,941.50
4. Step 4: Simplify right side
   178,428x = 68,090,466,422.25
5. Step 5: Solve for x
   x = 68,090,466,422.25/178,428
6. Step 6: Final answer
   x = 381,613.12