Finding the Third Proportional to 37,803 and 88,297

Step by Step Solution

1. Step 1: Write the proportion equation
   37,803 : 88,297 = 88,297 : x
2. Step 2: Convert to fraction form
   37,803/88,297 = 88,297/x
3. Step 3: Cross multiply
   37,803x = 88,297 × 88,297
4. Step 4: Simplify right side
   37,803x = 7,796,360,209
5. Step 5: Solve for x
   x = 7,796,360,209/37,803
6. Step 6: Final answer
   x = 206,236.55