Finding the Third Proportional to 697,823 and 1,106,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   697,823 : 1,106,792.50 = 1,106,792.50 : x
2. Step 2: Convert to fraction form
   697,823/1,106,792.50 = 1,106,792.50/x
3. Step 3: Cross multiply
   697,823x = 1,106,792.50 × 1,106,792.50
4. Step 4: Simplify right side
   697,823x = 1,224,989,638,056.25
5. Step 5: Solve for x
   x = 1,224,989,638,056.25/697,823
6. Step 6: Final answer
   x = 1,755,444.63