Finding the Third Proportional to 112,537 and 178,201.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112,537 : 178,201.50 = 178,201.50 : x
2. Step 2: Convert to fraction form
   112,537/178,201.50 = 178,201.50/x
3. Step 3: Cross multiply
   112,537x = 178,201.50 × 178,201.50
4. Step 4: Simplify right side
   112,537x = 31,755,774,602.25
5. Step 5: Solve for x
   x = 31,755,774,602.25/112,537
6. Step 6: Final answer
   x = 282,180.75